Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives

Yanliang Dong, Muhammad Zeb, Ghulam Farid, Sidra Bibi and Antonio Masiello

Journal of Mathematics, 2021, vol. 2021, 1-16

Abstract: In this paper, we present two versions of the Hadamard inequality for α,m convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and m-convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6691151

DOI: 10.1155/2021/6691151

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